1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
kotegsom [21]
3 years ago
8

PLZ HELP! A train averages a speed of 90 miles per hour across the plains and 37.5 miles per hour through the mountains. If a tr

ip of 300 miles took 3 hour and 48 minutes, how much of it was through the mountains?
Mathematics
1 answer:
Kruka [31]3 years ago
7 0

Answer:

3.8

Step-by-step explanation:

A train averages a speed of 90 miles per hour across the plains and 37.5 miles per hour through the mountains.

If a trip of 300 miles took 3 hour and 48 minutes, how much of it was through the mountains?

Let d = distance traveled at 37.5 (thru the mountains)

then

(300-d) = distance traveled at 90 mph

Write a time equation, time = dist/speed

change 3 hr 48 min to hrs: 3 + 48/60 = 3.8 hrs

plain time + mountain time = 3.8 hrs

%28300-d%29%2F90 + d%2F37.5 = 3.8

Multiply 90*37.5

3375*%28300-d%29%2F90 + 3375*d%2F37.5 = 3.8(3375)

cancel the denominator

37.5(300-d) + 90d = 12825

11250 - 37.5d + 90d = 12825

52.5d = 1575

d = 1575/52.5

d = 30 mi thru the mountains

Check this, find the distance on the plain

300-30 = 270 mi

Find the actual time at each speed

270/90 = 3 hrs

30/37.5 = .8 hrs

-----------------

total time: 3.8 hrs

You might be interested in
Solve the equation by completing the square and then solving for x. 1. x^2-6x=12<br>2. 2x^2-24x=-20
Paraphin [41]

Answer:  (x - 3)² = 21

<u>Step-by-step explanation:</u>

x² - 6x + ____ = 12 + ____

       ↓        ↑                 ↑

    \frac{-6}{2} = (-3)^{2}

x² - 6x + <u> 9 </u> = 12 + <u> 9 </u>

       (x - 3)²  =    21

*******************************************************

Answer:  (x - 6)² = 26

<u>Step-by-step explanation:</u>

2x² - 24x = -20

<u>÷2 </u>   <u> ÷2  </u>    <u> ÷2 </u>

 x² -  12x =  -10

x² - 12x + ____ = -10 + ____

       ↓        ↑                   ↑

    \frac{-12}{2} = (-6)^{2}

x² - 12x + <u> 36 </u> = -10 + <u> 36 </u>

       (x - 6)²  =    26

8 0
3 years ago
Suppose a batch of metal shafts produced in a manufacturing company have a standard deviation of 1.5 and a mean diameter of 205
lawyer [7]

Answer:

the probability is 0.0750

Step-by-step explanation:

The computation of the probability is shown below;

The mean of x is

= 1.5 ÷ √79

= 0.1688

Now the probability is

= P(Z < -0.3 ÷ 0.1688) + P(\bar{x} > 0.3 ÷ 0.1688)

= P(Z < -1.78) + P(Z > 1.78)

= P(Z < -1.78) + 1 - P(Z < 1.78

= 0.0375 + 1 - 0.9625

= 0.0750

hence, the probability is 0.0750

3 0
2 years ago
What is the value of s in the equation 4(2s − 1) = 7s + 12? <br> 12<br> 16<br> 32<br> 34
erastova [34]
You start by distributing: 8s-4=7s+12
Combine like terms: 8s-7s=12+4
Solve and get your answer: s=16
3 0
3 years ago
Read 2 more answers
A triangle can be formed with sides length s 2 in, 3 in and 6 in true or false
NeX [460]
False in a triangle 2 sides are the same and one is different
7 0
3 years ago
What's the difference in terminating or repeating a decimal
Ivahew [28]
A repeating decimal is when the number repeat or go on forever and do not change
a terminating decimal is one that has an end to it's numbers

example of repeating: .303030303030303.....
example of terminating: .2427
7 0
3 years ago
Other questions:
  • M=2 , b=-5 what does y equal ?
    8·2 answers
  • What is the mixed number fraction of <br> 6 2/5 - 2 9/10
    9·1 answer
  • What is the halfway fraction between 3/5 and 7/10
    8·1 answer
  • What is the diameter of a circle with a circumference of 66? Round to the nearest tenth.
    5·1 answer
  • Which two teams have equivalent
    5·2 answers
  • What times (-26)=26 PLEASE HELP ME
    12·2 answers
  • Find the retail price. Original Price: $185; Markup: 125%.
    6·1 answer
  • Find the value using identities (302)3
    13·1 answer
  • 1/3(3+2x)−1=10<br><br><br> PLEASE HURRY I NEED It IN LIKE 2 MINUTES
    15·2 answers
  • Given the function f(x)=2x-1<br> Evaluate: <br>a) 2f(x) <br> b) f(2x)​
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!